827265 has 16 divisors (see below), whose sum is σ = 1336896. Its totient is φ = 436800.

The previous prime is 827251. The next prime is 827269. The reversal of 827265 is 562728.

827265 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 827265 - 2⁸ = 827009 is a prime.

Its product of digits (6720) is a multiple of the sum of its prime divisors (560).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (827269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1755 + ... + 2175.

It is an arithmetic number, because the mean of its divisors is an integer number (83556).

2⁸²⁷²⁶⁵ is an apocalyptic number.

It is an amenable number.

827265 is a deficient number, since it is larger than the sum of its proper divisors (509631).

827265 is a wasteful number, since it uses less digits than its factorization.

827265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560.

The product of its digits is 6720, while the sum is 30.

The square root of 827265 is about 909.5410930794. The cubic root of 827265 is about 93.8746253686.

The spelling of 827265 in words is "eight hundred twenty-seven thousand, two hundred sixty-five".